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5135300 = 225289577
BaseRepresentation
bin10011100101101111000100
3100122220022022
4103211233010
52303312200
6302022312
761435502
oct23455704
910586268
105135300
112998255
121877998
1310aa551
14979672
156b6885
hex4e5bc4

5135300 has 36 divisors (see below), whose sum is σ = 11288340. Its totient is φ = 2027520.

The previous prime is 5135297. The next prime is 5135321. The reversal of 5135300 is 35315.

It can be written as a sum of positive squares in 6 ways, for example, as 9604 + 5125696 = 98^2 + 2264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8612 + ... + 9188.

It is an arithmetic number, because the mean of its divisors is an integer number (313565).

Almost surely, 25135300 is an apocalyptic number.

5135300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5135300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644170).

5135300 is an abundant number, since it is smaller than the sum of its proper divisors (6153040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5135300 is a wasteful number, since it uses less digits than its factorization.

5135300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 17.

The square root of 5135300 is about 2266.1200321254. The cubic root of 5135300 is about 172.5262859894.

The spelling of 5135300 in words is "five million, one hundred thirty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 577 890 1154 1780 2225 2308 2885 4450 5770 8900 11540 14425 28850 51353 57700 102706 205412 256765 513530 1027060 1283825 2567650 5135300